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Finding the Fourth Proportional to 33,221.86, 49,838.92 and 9,528.42

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Solution

The fourth proportional to 33,221.86, 49,838.92 and 9,528.42 is: 14,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,221.86 : 49,838.92 = 9,528.42 : x
  2. Step 2: Convert to fraction form
    33,221.86/49,838.92 = 9,528.42/x
  3. Step 3: Cross multiply
    33,221.86x = 49,838.92 × 9,528.42
  4. Step 4: Simplify right side
    33,221.86x = 474,886,162.11
  5. Step 5: Solve for x
    x = 474,886,162.11/33,221.86
  6. Step 6: Final answer
    x = 14,294.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.